In [1]}, the authors prove that such a configuration has dimension \({1 / \delta ^{2}}\) , for any \(0 < \delta \le 1\) .
This robust version also allows them to prove robust versions of the higher dimensional variants mentioned above.
They also define the notion of a \(LCC\) -configuration, which is an extension of the Sylvester-Gallai configuration where points are allowed to occur with multiplicity.
In [2]}, the authors improve the bound on the dimension of robust Sylvester-Gallai configurations to \({1 / \delta }\) .
